λ
Sequence Observatory

9,976,811

13 × 89 × 8623
Deficient Odd Composite

Starting at 9,976,811, the Collatz iteration reaches 1 after 137 steps. The first transition is 29930434; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 89 × 8623
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,866,240
Proper Divisor Sum 889,429
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9976801 ← → #9976819

Radix Representation

Decimal 9976811
Binary 100110000011101111101011 (24 bits)
Octal 0o46035753
Hexadecimal 0x983BEB

Divisor Catalog (8)

1 13 89 1,157 8,623 112,099 767,447 9,976,811

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,976,811 29,930,434 14,965,217 44,895,652 22,447,826 11,223,913 33,671,740 16,835,870 8,417,935 25,253,806 12,626,903 37,880,710 18,940,355 56,821,066 28,410,533 85,231,600 42,615,800 21,307,900 10,653,950 5,326,975 15,980,926 7,990,463 23,971,390 11,985,695 35,957,086 17,978,543 53,935,630 26,967,815 80,903,446 40,451,723 121,355,170 60,677,585 182,032,756 91,016,378 45,508,189 136,524,568 68,262,284 34,131,142 17,065,571 51,196,714 25,598,357 76,795,072 38,397,536 19,198,768 9,599,384 4,799,692 2,399,846 1,199,923 3,599,770 1,799,885 5,399,656 2,699,828 1,349,914 674,957 2,024,872 1,012,436 506,218 253,109 759,328 379,664

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